Stability of state feedback NCSs with multiple-packet ttransmission

Exponential stability and controller design problems for networked control systems (NCSs) with multiple-packet transmission are studied. Various state feedback NCSs, such as having time-delay and dropped out packets, having time-delay and no dropped out packet, having dropped out packets and no time-delay, having no time-delay and no dropped out packet in sensor-to-controller and controller-to-actuator, are modeled as asynchronous dynamical systems constrained by event rates. Based on the theory of asynchronous dynamical system, Lyapunov stability theory and linear matrix inequality method, the negative semi-definite matrix conditions of exponential stability for the state feedback NCSs with multiple-packet transmission and controller design method are presented. Numerical examples show that the negative semi-definite matrix conditions of exponential stability and the controller design method are feasible.